Question

Show that the area of a rhombus is half the product of the length of its diagonals

Answer 1

the diagonals of a rhombus are perpendicular to each other. Hence area of a rhombus will be sum of the 4 right angled triangles formed by intersection of diagonals.
4 * (1/2* D1/2*D2/2)
=1/2 *D1*D2

Answer 2

the diagonals of a rhombus are perpendicular to each other. Hence area of a rhombus will be sum of the 4 right angled triangles formed by intersection of diagonals.

4 * (1/2* D1/2*D2/2)

=1/2 *D1*D2

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